A field, K, has 2 binary operations (+,*) The field is an abelian group under "+" for multiplication

- There exists a unique inverse, a^ forall a in K - {0} ({0} is the
zero for "+")

- a(bc)=(ab)c (associativity)
- a(b+c)=ab+ac (distributivity)
- There exists an identity e, s.t. ae=ea=a

Examples

- R
- C
- H = Quaternions

source jl@crush.caltech.edu index

Yang-Mills_gauge_field

covariant_derivative

bohmanarov_effect

flat_connection

killing_vector

frame_bundle

vielbeinsl

vector_space